WASHINGTON (CNN) - CNN has obtained an e-mail written by embattled Sen. David Vitter to supporters on Tuesday, the day after he admitted that his telephone number turned up in the phone records of an escort service run by Deborah Jeane Palfrey, dubbed the ‘D.C. Madam.’

Dear Friend,

I write with great sadness, as well as great affection and respect for you as a friend, about disclosures that are appearing today in the media.

I have addressed this matter very directly (referring to the statement given to reporters), and deeply apologize again for letting you and others down. I also write today to say three other things.

First, thank you again for all the love and support you've always offered Wendy and myself. It is one of the greatest gifts we've been blessed with.

Second, our family will be fine, though we certainly appreciate your continuing thoughts and prayers. Those are a great comfort to all of us.

And third, I will live every day always striving to fully honor that friendship and those prayers.